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Finding the Fourth Proportional to 517.40, 776.39 and 209.26

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Solution

The fourth proportional to 517.40, 776.39 and 209.26 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 776.39 = 209.26 : x
  2. Step 2: Convert to fraction form
    517.40/776.39 = 209.26/x
  3. Step 3: Cross multiply
    517.40x = 776.39 × 209.26
  4. Step 4: Simplify right side
    517.40x = 162,467.37
  5. Step 5: Solve for x
    x = 162,467.37/517.40
  6. Step 6: Final answer
    x = 314.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.